Respuesta :
Dilatioan formula for the original coordinates and the image is given below:
[tex](\text{ x , y ) }\to\text{ ( Scale factor}\cdot x\text{ , Scale factor}\cdot y\text{ )}[/tex]The coordinates of the original point are given as follows:
[tex](\text{ 6 , -1 )}[/tex]The scale factor for dilation is given as:
[tex]\text{Scale Factor = 5}[/tex]We will now use the dilation formula to determine the coordinates of image as follows:
[tex](\text{ 6 , - 1 ) }\to\text{ ( 5}\cdot6\text{ , 5}\cdot(-1)\text{ ) = ( 30 , -5 )}[/tex]The image will lie in the quadrant defined by negative y-axis but positive x-axis! The quadrant would be:
[tex]IV[/tex]